ANOVA and root-trait variability parameters
Violin plots with boxplot insets illustrate per-genotype distributions and medians for TRL, TSA, ARD, TRV, TRT and PRL across 31 genotypes under limiting P and non-limiting P conditions (Fig 1). All assessed root traits varied significantly in response to both genotype and P availability (p<0.001), highlighting the independent effects of genetic and environmental factors. However, genotype x P level interactions were generally non-significant, with the exception of PRL, which showed a significant interaction (p<0.001), suggesting differential genotypic responsiveness to P conditions for this trait alone (Table 1). Under limiting P conditions, the BG3022 showed the highest TRL (1123.67), TSA (205.32) and TRV (2.99), while GNG1581, RSG888 and RSG888 recorded the lowest TRL (139.54), TSA (23.9) and TRV (0.31), respectively. PG0515 and BGD103 had the highest and lowest ARD (0.6596, 04011, respectively); BGM20211 and PUSA1103 had the highest and lowest TRT (3123, 87, respectively) and PRL ranged from 80.1 (PUSA72) to 22.3 (FG212). Under non limiting P conditions, BG3022 again had the highest TRL (767.16), TSA (140.31) and TRV (2.04), while, PUSA362 had the lowest TRL (76.88) and TSA (14.97) and JG315 exhibited the lowest TRV (0.23). ARD was highest in PG0515 (0.6641) and lowest in BGM20211 (0.4755); TRT ranged from 2333 (BGM10216) to 41 (PUSA362) and PRL from 63.1 (PUSA1103) to 18.9 (ICCV10). These results underscore the genotypic differences in root traits under contrasting P conditions (Table 2).
High genotypic coefficient of variation (GCV) and phenotypic coefficient of variation (PCV) were observed for TRT (GCV: 48.39%, PCV: 60.8% in limiting P; GCV: 35.54%, PCV: 97.67% in non-limiting P) and TRV (GCV: 45.82%, PCV: 52.75% in limiting P; GCV: 42.42%, PCV: 52.46% in non-limiting P), indicating substantial genetic variability under both conditions. PRL showed high heritability in limiting P (0.87) and non-limiting P (0.80), suggesting stable genetic control. In contrast, ARD showed notably lower heritability in non-limiting P (0.36) than limiting P (0.74), reflecting stronger environmental influence under non stress conditions (Table 2).
Per cent change in mean in response to limiting P stress and correlation under limiting P and non-limiting P conditions
Under limiting P conditions, marked increases were observed in key root traits, with TRT rising most sharply (89.05%), followed by TRL (54.73%), TSA (42.36%), PRL (35.65%) and TRV (31.17%). These enhancements reflect a coordinated morphological adaptation to optimize P foraging. Conversely, ARD declined modestly (-8.65), indicating a shift toward finer roots, likely facilitating greater absorptive surface per unit biomass under stress (Fig 2). Enhancement of primary root elongation was reported in several legume species, including soyabean
(Zhou et al., 2014; Guo et al., 2011). Azevedo et al., (2015) also reported an overall increase in root traits and a decline in root diameter in the P efficient maize lines.
We examined the interrelationships among key root traits under both limiting and non-limiting P conditions using Pearsons’s correlation analysis (Fig 3). Under P limited conditions, strong positive correlations were observed among TRL, TSA, TRV and TRT, indicating coordinated root elongation, surface expansion and branching to enhance P acquisition. In contrast, ARD showed weak or negative associations, suggesting a trade-off toward finer and longer roots for efficient P foraging. Under non-limiting P, correlations weakened, particularly between TRT and other root traits and ARD showed a significant negative correlation with TRT, implying thicker roots with fewer tips. These shifts reflect adaptive plasticity in RSA depending on P availability, with finer, proliferative roots favoured under deficiency. The observed correlations are consistent with previous findings in mungbean
(Kothari et al., 2023). Similar trends have been reported in other legumes, where specific root traits confer advantages under P limitation.
Thudi et al., 2021 reported that greater total root length, higher lateral root density and larger root biomass correlate with improved P uptake and P utilization efficiency.
Dhanapal et al., 2021 showed that shallow root growth angle and greater crown-root number improve top soil exploration and nutrient capture. Likewise,
Kohli et al., (2022) observed that increased root-hair length and density under low P expands absorptive surface area and directly enhances P uptake.
MGIDI
MGIDI-based analysis was conducted with a selection intensity of 10% to select genotypes and prioritize traits with the highest potential for genetic improvement. This method enabled the systematic evaluation of genotype performance relative to the ideotype, while also quantifying the contribution of individual traits to the overall genotype profile. By assessing the de
viation of each genotype from the ideotype, we identified key traits influencing genotype selection, facilitating more precise, multitrait based breeding decisions.
Loadings, factor descriptions and genetic gains obtained through MGIDI
We identified two orthogonal factors, each with eigenvalues exceeding one (applying kaiser criterion), which together captured 80.0% of total variance under limiting P conditions and 78.4% under non-limiting P conditions. Communality refers to the proportion of each trait’s variance explained by the retained factors. Under limiting P conditions, the mean communality was 0.8, with values ranging from 0.28 (PRL) to 0.98 (TSA,TRV). In contrast, under non-limiting P conditions, the mean communality was 0.78, with values ranging from 0.25 (PRL) to 0.97 (TRL, TSA, TRV). Uniquenesses indicates the proportion of variance attributed solely to each trait, with lower values reflecting stronger inter-trait relationships. In limiting P conditions, uniquenesses values ranged from 0.02 (TSA, TRV) to 0.72 (PRL), while in non-limiting P conditions, they ranged from 0.03 (TRL, TSA, TRV) to 0.75 (PRL) (Table 3).
In limiting P conditions, TRL, TSA, TRV, TRT and PRL loaded strongly onto FA1, while FA2 was defined by ARD (Table 4). In non-limiting P conditions, TRL, TSA, TRV and PRL contributed predominantly to FA1 whereas FA2 was associated with ARD and TRT (Table 5). Positive selection differentials were obtained for all the traits under both limiting P and non-limiting P conditions, except TRT (-20.6) under non-limiting P conditions. Mean selection differential (SD%) under limiting P conditions was 48.03%, ranging from 5.35% (ARD) to 89.1% (TRV). Under non-limiting P conditions mean SD% was 33.78%, spanning from -4.21% (TRT) to 83.7% (TRV). The mean selection gain (%) [SG (%)] was 41.86% under limiting P conditions, ranging from 4.54% for ARD to 77.3 for TRV, whereas, the mean SG (%) was 25.33%, ranging from -0.986% for TRT to 66.2 for TRV under non-limiting P conditions.
Selection of genotypes
Genotype ranking was performed using the MGIDI index scores, where lower scores indicate greater proximity to the ideotype (Table 6). Based on a predefined selection intensity of 10%, three genotypes were identified in each P regime. Under limiting P conditions, Pusa72 (1.3), BG3022 (1.45) and Pusa2085 (1.47) exhibited the closest alignment with the ideotype. In non-limiting P conditions, BG3022 (0.626), Pusa5023 (1.94) and PG0515 (2.07) were identified as the most desirable performers. Under both P conditions, BG3022 emerged as high performing genotype, exhibiting traits closely aligned with the ideal phenotypic profile. The scanned root images of the selected genotypes were presented in the Fig 4.
Olivoto et al., (2022) demonstrated that MGIDI effectively ranked strawberry cultivars across treatments using multiple traits.
Strength and weakness view of selected genotypes
The strengths and weakness view, which depicts the proportion of the MGIDI index attributable to each factor (Fig 5 and Fig 6), offers a powerful and intuitive tool for dissecting genotypic performance. A smaller proportion explained by a given factor, shown by segments positioned closer to the outer edge of the plot, indicates that the traits within that factor are more aligned with the ideotype.
Under limiting P conditions, FA1 had the smallest contribution to the Pusa72 suggesting that the traits retained in the FA1 namely, TRL, TSA, TRV, TRT and PRL have higher values. This indicates strong performance for these root related traits, placing Pusa72 closer to the ideotype for this factor. But a higher contribution of FA2 to the Pusa72 indicates the lower values of the trait ARD retained in FA2. In contrast, Pusa2085 showed a high contribution from the FA1, indicating lower performance for the traits grouped within this dimension. BG3022 exhibited a balanced performance with low contributions from both factors, indicating close alignment with the ideotype across all evaluated traits. Under non-limiting P conditions, BG3022 exhibited smaller contributions from both FA1 and FA2, reflecting superior trait performance and a close proximity to the ideotype. The traits grouped in FA1 including, TRL, TSA, TRV and PRL, along with those in FA2, namely ARD and TRT, showed favourable values in BG3022. In case of Pusa5023, the minimal contribution from FA2 suggests optimal expression for ARD and TRT, whereas the higher contribution from FA1 implies relative limitations in traits retained in FA1. PG0515 exhibited relatively higher contributions from both FA1 and FA2, indicating greater deviation from the ideotype. Similarly,
Wang et al., (2024) applied MGIDI to
Populus hybrids across two planting densities, identifying genotypes with enhanced growth and leaf morphology while revealing spacing specific trait limitations. MGIDI has also proven effective in selecting high-performing genotypes with desirable trait profiles in lentil
(Amin et al., 2023), black bean
(Klein et al., 2023) and oats (
Ambrósio et al., 2024). Thus, this trait level dissection clearly highlights the physiological strengths and limitations of the selected genotypes under contrasting P regimes. It helps to unravel the dynamics of RSA by pinpointing genotypes with desirable combinations of root-traits under varying P conditions which guides breeders in assembling trait combinations that optimize root development and enhance PUE.
Further, limiting P and moisture stress conditions create contrasting challenges when they co-occur as P is concentrated in the top soil while water is typically available at depth in rainfed systems. Because of this, the required root systems differ sharply. Under limiting P conditions, plants benefit from topsoil-foraging traits such as shallow growth angles, many short and dense lateral roots and abundant long root hairs
(Postma et al., 2014). In contrast, moisture stress requires steep, deep roots and fewer long laterals
(Zhan et al., 2015). Therefore, breeding should aim for integrated or dimorphic ideotypes that balance both functions
(Rangarajan et al., 2018; Lynch, 2022). At the functional level, longer TRL and larger TSA and TRV, combined with reduced ARD expand root growth medium (or soil) contact and the volume of medium (or soil) explored, so more P is intercepted by diffusion or mass flow to root surfaces. A higher number of TRT creates many active uptake sites and longer PRL increases access to localized P patches beyond the seedling rhizosphere while also aiding subsoil water exploration under moisture stress. Root hairs further enlarge absorptive surface per unit root. These processes together raise P flux to the plant (
Hinsinger, 2001;
Niu et al., 2013; Lynch, 2019). Thus, all the measured traits are practical selection indices, as supported by our MGIDI results and using them as selection criteria (alone or as part of a selection index) will allow breeders to identify genotypes that explore more soil volume and acquire available P more efficiently. Cultivars with such optimized RSA can contribute to sustainable P management by reducing reliance on external P inputs and improving long term PUE. Advancing this research requires integrating RSA traits with genomic tools such as genome wide association studies (GWAS), QTL mapping and transcriptome profiling to identify candidate genes. Validated loci can then be used to design SNP markers and applied through marker-assisted or genomic selection to develop lines with enhanced PUE.